RatioNAL ioN FUnetioN 2 10N R) z x + x -12 xー × - 6 X-6 FIND X AND a. ソ- IN TEREシPTS ? b. DETERMINE WHICH witiCH NTER VAL IS THE FUNCTION ABOVE AND BELOW x- C. GIVE A STRETCH THE GRAPH OR

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A: Given that:                                      f(x) = 2x(x-4)(x+7)(3x-5)

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A: Since, we have been given that r(z)= sin(z2-10z+16)Our Aim is to find r'(z)=?

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A: Given value of f(x) , to find interval of concavity and inflection points we want to find f"(x).

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A: Find the lower sum of f(x) with 2 rectangles

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A:

Q: 1-For what values of x is the function f(x)=-x2-2x+15  decreasing? A)(-infinity,-2].…

A:

Q: [1.5 Marks] B2. For the function f(x) = 5x – 45x², determine the intervals where f is increasing and…

A: We will solve the problem.

Q: (-1)"n2n+1 n=0 32n-1(2n+ 1)! The sum of the series is 3 18 O 9/3 1 18 tan() 3 9 tan Click Save and…

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Q: -5+ of e indicated function and write its domain 7) s(x) = x-4 x²-36 t(x)= (-)(x) :) = ? x-6 4-x'

A: To find the indicated function and find its domain.

Q: 5. Find the relative extrema and points of inflection for f(x) = 5xe*. Show all steps.

A: To find out the relative extrema and points of inflection for the given function.

Q: Which function has the same graph as f(x)% 3 214x- 6| + 18? O A (x) = 214x - 6|- 18 O B. (x) = 4|2x…

A:

Q: 8. The graph of the function f(x) = Vx + 4 is shown below. f(x) +++ The domain of the function is A…

A:

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Q: Evalvate f(f(f(2) X+5 for x5

A:

Q: For the function f(x) = 6x – 4x, evaluate and simplify the difference quotie f(x + h) – f(x) h

A: Derivative

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A: If 1st and second derivatives of a function at a point is 0, then that point is inflection point.…

Q: Consider the function defined by f(x,y) = 4x² + y? (a) Find the domain and range of f.

A: Given function: fx,y=4x2+y2To find: Domain and range of f.

Q: 1. For the function f(-x) = 1-- find the following: (* + 2)2 (i) f(-x) _(ii) f (x + k)

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Q: Find the domain of the function. C. {X/X>1} B. all real number DEXIX # 03

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Q: Find and sketch the domain for the function. f(x,y) = / (x2 - 9) (² -4) %3D

A: This is the problem of the domain of a function of several variables.

Q: 7. Find f' for each of the given functions using the product rule. a. f(x) = 5x-2(x² – 11x + 10) b.…

A: